134829461365032 has 256 divisors, whose sum is σ = 399403378483200. Its totient is φ = 37111092480000.

The previous prime is 134829461364953. The next prime is 134829461365087. The reversal of 134829461365032 is 230563164928431.

It is a super-2 number, since 2×134829461365032² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5478410407 + ... + 5478435017.

It is an arithmetic number, because the mean of its divisors is an integer number (1560169447200).

Almost surely, 2^{134829461365032} is an apocalyptic number.

134829461365032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134829461365032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199701689241600).

134829461365032 is an abundant number, since it is smaller than the sum of its proper divisors (264573917118168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

134829461365032 is a wasteful number, since it uses less digits than its factorization.

134829461365032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27128 (or 27124 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 57.

The spelling of 134829461365032 in words is "one hundred thirty-four trillion, eight hundred twenty-nine billion, four hundred sixty-one million, three hundred sixty-five thousand, thirty-two".